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scidoe_ryates

Reverse Yates algorithm to give estimated responses

Calling Sequence

y = scidoe_ryates(ef)
[y, id] = scidoe_ryates(ef)

Parameters

ef :

a n-by-1 vector of doubles, containing average response, main effects and interaction effects. ef(1) is the average response and ef(2:$) contain the main effects and interaction effects.

y :

a n-by-1 vector of doubles, the estimated response given the effects.

id :

a (n-1)-by-k matrix of doubles, identification matrix of main and interaction effects.

Description

Reverse Yates algorithm to give estimated responses

This is the reverse function of scidoe_yates.

This function is adapted from the Wafo toolbox:

http://www.maths.lth.se/matstat/wafo/documentation/wafodoc/wafo/wstats/ryates.html

Examples

// "Statistics for experimenters Design,Innovation and Discovery",
// Second Edition, George E.P Box, J. Stuart Hunter, William Hunter, Wiley Series, 2005
// Tables 5.6, 5.7 - Pilot Plant Investigation Experiment
D = scidoe_ff2n(3);
y = [60 72 54 68 52 83 45 80];
[ef,id] = scidoe_yates(y);
y1 = scidoe_ryates(ef)

Bibliography

"Statistics for experimenters Design,Innovation and Discovery",

Second Edition, George E.P Box, J. Stuart Hunter, William Hunter, Wiley Series, 2005

Authors


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